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Finding the Fourth Proportional to 553,175,319.70, 829,804,969.95 and 164,967,850.90

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Solution

The fourth proportional to 553,175,319.70, 829,804,969.95 and 164,967,850.90 is: 247,464,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,175,319.70 : 829,804,969.95 = 164,967,850.90 : x
  2. Step 2: Convert to fraction form
    553,175,319.70/829,804,969.95 = 164,967,850.90/x
  3. Step 3: Cross multiply
    553,175,319.70x = 829,804,969.95 × 164,967,850.90
  4. Step 4: Simplify right side
    553,175,319.70x = 136,891,142,558,790,592
  5. Step 5: Solve for x
    x = 136,891,142,558,790,592/553,175,319.70
  6. Step 6: Final answer
    x = 247,464,298.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.